What is the Least Common Multiple of 79254 and 79271?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 79254 and 79271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79254 and 79271, than apply into the LCM equation.

GCF(79254,79271) = 17
LCM(79254,79271) = ( 79254 × 79271) / 17
LCM(79254,79271) = 6282543834 / 17
LCM(79254,79271) = 369561402

Least Common Multiple (LCM) of 79254 and 79271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79254 and 79271. First we will calculate the prime factors of 79254 and 79271.

Prime Factorization of 79254

Prime Factorization of 79271

Now multiplying the highest exponent prime factors to calculate the LCM of 79254 and 79271.

LCM(79254,79271) = 2¹ × 3² × 7¹ × 17¹ × 37¹ × 4663¹
LCM(79254,79271) = 369561402